WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the radio station, plans to give away upper-level and mid-level seats that cost $25 and $40, respectively. Tim wants to give away at least 25 tickets, but he has a budget constraint of $1,000.

u + m ≥ 25

25u + 40m ≤ 1000

Step-by-step explanation:

WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the radio station, plans to give away upper-level and mid-level seats that cost $25 and $40, respectively. Tim wants to give away at least 25 tickets, but he has a budget constraint of $1,000.

Write a system of two inequalities that describes this situation

Solution

Let

u = number of upper level tickets

m = number mid level tickets

Cost of upper level tickets = $25

Cost of mid-level tickets = $40

Tim wants to give away at least 25 tickets

He has a budget constraint of $1,000

Equation for the amount of tickets given away

u + m ≥ 25

Equation for the cost of tickets

25u + 40m ≤ 1000

2425

step-by-step explanation:

391.6 is the correct answer